Simplify Square Root of 3688

Here we will show you step-by-step how to simplify the square root of 3688. The square root of 3688 can be written as follows:


	√	3688

The √ symbol is called the radical sign. To simplify the square root of 3688 means to get the simplest radical form of √3688.

Step 1: List Factors
List the factors of 3688 like so:

1, 2, 4, 8, 461, 922, 1844, 3688

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 4

Step 3: Divide
Divide 3688 by the largest perfect square you found in the previous step:

3688 / 4 = 922

Step 4: Calculate
Calculate the square root of the largest perfect square:

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3688 in its simplest form:


2	√	922

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Decimal Form
Square Root of 3688 in Decimal form rounded to nearest 5 decimals:

60.72891

Exponent Form
Square Root of 3688 written with Exponent instead of Radical:

3688^½ = 2 x 922^½

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* List of Perfect Squares